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Finding the Fourth Proportional to 46,978.40, 70,473.68 and 15,377.60

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Solution

The fourth proportional to 46,978.40, 70,473.68 and 15,377.60 is: 23,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.40 : 70,473.68 = 15,377.60 : x
  2. Step 2: Convert to fraction form
    46,978.40/70,473.68 = 15,377.60/x
  3. Step 3: Cross multiply
    46,978.40x = 70,473.68 × 15,377.60
  4. Step 4: Simplify right side
    46,978.40x = 1,083,716,061.57
  5. Step 5: Solve for x
    x = 1,083,716,061.57/46,978.40
  6. Step 6: Final answer
    x = 23,068.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.